Question

16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)

Answer 1

Yes,

Explanation:

The Pythagorean theorem states that: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).

6² = 36

8² = 64

36 + 64 = 100

10² = 100

100 = 100 so it is a right triangle.

Answer 2

Explanation:

Use the Pythagorean Theorem to test it.

6² + 8² ≟ 10²

36+64 ≟ 100

100 = 100

It is a right triangle.